Mapping class groups of highly connected ( 4 k + 2 ) -manifolds

dc.contributor.author	Krannich, Manuel
dc.date.accessioned	2020-12-05T16:13:19Z
dc.date.available	2020-12-05T16:13:19Z
dc.date.issued	2020-11-26
dc.identifier.issn	1022-1824
dc.identifier.other	s00029-020-00600-7
dc.identifier.other	600
dc.identifier.uri	https://www.repository.cam.ac.uk/handle/1810/314801
dc.description	Funder: University of Cambridge
dc.description.abstract	Abstract: We compute the mapping class group of the manifolds ♯g(S2k+1×S2k+1) for k>0 in terms of the automorphism group of the middle homology and the group of homotopy (4k+3)-spheres. We furthermore identify its Torelli subgroup, determine the abelianisations, and relate our results to the group of homotopy equivalences of these manifolds.
dc.language	en
dc.publisher	Springer International Publishing
dc.subject	Article
dc.subject	57R50
dc.subject	55N22
dc.subject	57R60
dc.title	Mapping class groups of highly connected ( 4 k + 2 ) -manifolds
dc.type	Article
dc.date.updated	2020-12-05T16:13:18Z
prism.issueIdentifier	5
prism.publicationName	Selecta Mathematica
prism.volume	26
dc.identifier.doi	10.17863/CAM.61908
dcterms.dateAccepted	2020-09-13
rioxxterms.versionofrecord	10.1007/s00029-020-00600-7
rioxxterms.version	VoR
rioxxterms.licenseref.uri	http://creativecommons.org/licenses/by/4.0/
dc.identifier.eissn	1420-9020

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